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 Documentation Ver 1.0.0 August 2011 by
 <a href="http://mmc.geofisica.unam.mx/luiggi">Luis M. de la Cruz</a> <br>
 <a href="http://mmc.geofisica.unam.mx"> GMMC </a> -
 <a href="http://www.geofisica.unam.mx/recnat/"> Depto. de Recursos Naturales </a> -
 <a href="http://www.geofisica.unam.mx"> Instituto de Geof&iacute;sica </a> -
 <a href="http://www.unam.mx"> UNAM </a><br>
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<div class="title">Examples/02NonUniformMesh/nonuniform_meshes.cpp</div>  </div>
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<a href="nonuniform__meshes_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00051"></a>00051 <span class="preprocessor">#include &lt;iostream&gt;</span>
<a name="l00052"></a>00052 <span class="preprocessor">#include &lt;cmath&gt;</span>
<a name="l00053"></a>00053 <span class="preprocessor">#include &quot;Meshes/StructuredMesh.hpp&quot;</span>
<a name="l00054"></a>00054 <span class="preprocessor">#include &quot;Meshes/NonUniform.hpp&quot;</span>
<a name="l00055"></a>00055 <span class="preprocessor">#include &quot;Utils/GNUplot.hpp&quot;</span>
<a name="l00056"></a>00056 <span class="keyword">using namespace </span>Tuna;
<a name="l00057"></a>00057 
<a name="l00058"></a>00058 <span class="comment">// Functor to define the point distribution.</span>
<a name="l00059"></a>00059 <span class="keyword">class </span>MyFunction {      
<a name="l00060"></a>00060   <span class="keywordtype">double</span> lambda; <span class="comment">// distribution factor </span>
<a name="l00061"></a>00061 <span class="keyword">public</span>:                                    
<a name="l00062"></a>00062   MyFunction(<span class="keywordtype">double</span> l) : lambda(l) { }   
<a name="l00063"></a>00063   
<a name="l00064"></a>00064   <span class="keywordtype">double</span> operator() (<span class="keywordtype">double</span> epsi) {      
<a name="l00065"></a>00065     <span class="keywordflow">return</span> ( (exp(lambda * epsi) - 1.0) / 
<a name="l00066"></a>00066              (exp(lambda       ) - 1.0) ); 
<a name="l00067"></a>00067   }
<a name="l00068"></a>00068 };
<a name="l00069"></a>00069 
<a name="l00070"></a>00070 <span class="comment">// Scalar field in one dimension</span>
<a name="l00071"></a>00071 <span class="keyword">typedef</span> <a class="code" href="structTuna_1_1TunaArray.html#af3bcab5018eec3d7697c9fb03ad89157" title="Definition of big arrays to store scalar fields on meshes.">TunaArray&lt;double,1&gt;::huge</a> ScalarField1D;
<a name="l00072"></a>00072  
<a name="l00073"></a>00073 <span class="keywordtype">int</span> main() 
<a name="l00074"></a>00074 {
<a name="l00075"></a>00075     <span class="keywordtype">double</span> length_x, length_y, length_z;
<a name="l00076"></a>00076     <span class="keywordtype">int</span> num_nodes_x, num_nodes_y, num_nodes_z;
<a name="l00077"></a>00077     <span class="keywordtype">double</span> lambda;
<a name="l00078"></a>00078 
<a name="l00079"></a>00079 <span class="comment">// Reading data from the input file</span>
<a name="l00080"></a>00080     std::ifstream input_cin (<span class="stringliteral">&quot;input&quot;</span>); 
<a name="l00081"></a>00081     input_cin &gt;&gt; length_x;
<a name="l00082"></a>00082     input_cin &gt;&gt; length_y;
<a name="l00083"></a>00083     input_cin &gt;&gt; length_z;
<a name="l00084"></a>00084     input_cin &gt;&gt; num_nodes_x; 
<a name="l00085"></a>00085     input_cin &gt;&gt; num_nodes_y; 
<a name="l00086"></a>00086     input_cin &gt;&gt; num_nodes_z; 
<a name="l00087"></a>00087     input_cin &gt;&gt; lambda;
<a name="l00088"></a>00088     input_cin.close();
<a name="l00089"></a>00089 
<a name="l00090"></a>00090     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;NonUniform&lt;double, 1&gt;</a> &gt; mesh_1D(length_x, num_nodes_x);
<a name="l00091"></a>00091     mesh_1D.calcPoints(X, MyFunction(lambda));
<a name="l00092"></a>00092     mesh_1D.calcDeltas(X);
<a name="l00093"></a>00093     mesh_1D.print();
<a name="l00094"></a>00094     mesh_1D.writeToFile(<span class="stringliteral">&quot;./Data/mesh1D&quot;</span>);
<a name="l00095"></a>00095 
<a name="l00096"></a>00096 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00097"></a>00097 <span class="preprocessor"></span>    GNUplot plotter;
<a name="l00098"></a>00098     plotter(<span class="stringliteral">&quot;p \&quot;./Data/mesh1D\&quot; w lp&quot;</span>);
<a name="l00099"></a>00099     std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;</span>;
<a name="l00100"></a>00100     <span class="keywordtype">int</span> pause; std::cin &gt;&gt; pause;
<a name="l00101"></a>00101 <span class="preprocessor">#endif    </span>
<a name="l00102"></a>00102 <span class="preprocessor"></span>
<a name="l00103"></a>00103     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;NonUniform&lt;double, 2&gt;</a> &gt; mesh_2D(length_x, num_nodes_x,
<a name="l00104"></a>00104                                                    length_y, num_nodes_y);
<a name="l00105"></a>00105     mesh_2D.calcPoints(X, MyFunction(lambda));
<a name="l00106"></a>00106     mesh_2D.calcPoints(Y, MyFunction(lambda));
<a name="l00107"></a>00107     mesh_2D.print();
<a name="l00108"></a>00108     mesh_2D.writeToFile(<span class="stringliteral">&quot;./Data/mesh2D&quot;</span>);
<a name="l00109"></a>00109 
<a name="l00110"></a>00110 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00111"></a>00111 <span class="preprocessor"></span>    plotter(<span class="stringliteral">&quot;set view 0,0&quot;</span>);
<a name="l00112"></a>00112     plotter(<span class="stringliteral">&quot;splot \&quot;./Data/mesh2D\&quot; w lp&quot;</span>);
<a name="l00113"></a>00113     std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;</span>;
<a name="l00114"></a>00114     std::cin &gt;&gt; pause;
<a name="l00115"></a>00115 <span class="preprocessor">#endif</span>
<a name="l00116"></a>00116 <span class="preprocessor"></span>
<a name="l00117"></a>00117     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;NonUniform&lt;double, 3&gt;</a> &gt; mesh_3D(length_x, num_nodes_x,
<a name="l00118"></a>00118                                                    length_y, num_nodes_y,
<a name="l00119"></a>00119                                                    length_z, num_nodes_z);
<a name="l00120"></a>00120     mesh_3D.calcPoints(X, MyFunction(lambda));
<a name="l00121"></a>00121     mesh_3D.calcPoints(Y, MyFunction(lambda));
<a name="l00122"></a>00122     mesh_3D.calcPoints(Z, MyFunction(lambda));
<a name="l00123"></a>00123     mesh_3D.print();    
<a name="l00124"></a>00124     mesh_3D.writeToFile(<span class="stringliteral">&quot;./Data/mesh3D&quot;</span>);
<a name="l00125"></a>00125 
<a name="l00126"></a>00126 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00127"></a>00127 <span class="preprocessor"></span>    plotter(<span class="stringliteral">&quot;set view 30,45&quot;</span>);
<a name="l00128"></a>00128     plotter(<span class="stringliteral">&quot;splot \&quot;./Data/mesh3D\&quot; using 1:2:3 w lp&quot;</span>);
<a name="l00129"></a>00129     std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;</span>;
<a name="l00130"></a>00130     std::cin &gt;&gt; pause;
<a name="l00131"></a>00131 <span class="preprocessor">#endif</span>
<a name="l00132"></a>00132 <span class="preprocessor"></span>
<a name="l00133"></a>00133 <span class="comment">//</span>
<a name="l00134"></a>00134 <span class="comment">//  2D Non-uniform mesh: It is possible make a different distribution on</span>
<a name="l00135"></a>00135 <span class="comment">//                       different parts of the mesh.</span>
<a name="l00136"></a>00136 <span class="comment">//</span>
<a name="l00137"></a>00137     <a class="code" href="classTuna_1_1StructuredMesh.html" title="General structured meshes on rectangular domains.">StructuredMesh&lt;NonUniform&lt;double, 2&gt;</a> &gt; mesh(length_x, num_nodes_x,
<a name="l00138"></a>00138                                                 length_y, num_nodes_y);
<a name="l00139"></a>00139     <span class="keywordtype">int</span> mid_nod_x = num_nodes_x / 2 + 1;
<a name="l00140"></a>00140     <span class="keywordtype">int</span> mid_nod_y = num_nodes_y / 2 + 1;
<a name="l00141"></a>00141 <span class="comment">//</span>
<a name="l00142"></a>00142 <span class="comment">// x-axis distribution</span>
<a name="l00143"></a>00143 <span class="comment">//</span>
<a name="l00144"></a>00144     mesh.calcPoints(X, MyFunction(lambda),
<a name="l00145"></a>00145                     0, length_x * 0.5,        <span class="comment">// First half</span>
<a name="l00146"></a>00146                     mid_nod_x);            
<a name="l00147"></a>00147 
<a name="l00148"></a>00148     mesh.calcPoints(X, MyFunction(-lambda), 
<a name="l00149"></a>00149                     length_x * 0.5, length_x, <span class="comment">// Second half</span>
<a name="l00150"></a>00150                     mid_nod_x);            
<a name="l00151"></a>00151                                           
<a name="l00152"></a>00152     mesh.calcDeltas(X);
<a name="l00153"></a>00153 <span class="comment">//</span>
<a name="l00154"></a>00154 <span class="comment">// y-axis distribution</span>
<a name="l00155"></a>00155 <span class="comment">//</span>
<a name="l00156"></a>00156     mesh.calcPoints(Y, MyFunction(lambda),
<a name="l00157"></a>00157                     0, length_y * 0.5,        <span class="comment">// First half </span>
<a name="l00158"></a>00158                     mid_nod_y);   
<a name="l00159"></a>00159     
<a name="l00160"></a>00160     mesh.calcPoints(Y, MyFunction(-lambda),
<a name="l00161"></a>00161                     length_y * 0.5, length_y, <span class="comment">// Second half</span>
<a name="l00162"></a>00162                     mid_nod_y);        
<a name="l00163"></a>00163                                           
<a name="l00164"></a>00164     mesh.calcDeltas(Y);
<a name="l00165"></a>00165 
<a name="l00166"></a>00166     mesh.print();
<a name="l00167"></a>00167     mesh.writeToFile(<span class="stringliteral">&quot;./Data/mesh&quot;</span>);
<a name="l00168"></a>00168 
<a name="l00169"></a>00169 <span class="preprocessor">#ifdef WITH_GNUPLOT</span>
<a name="l00170"></a>00170 <span class="preprocessor"></span>    plotter(<span class="stringliteral">&quot;set view 0,0&quot;</span>);
<a name="l00171"></a>00171     plotter(<span class="stringliteral">&quot;splot \&quot;./Data/mesh\&quot; w lp&quot;</span>);
<a name="l00172"></a>00172     std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Press &lt;1&gt; and then &lt;enter&gt; to continue \n&quot;</span>;
<a name="l00173"></a>00173     std::cin &gt;&gt; pause;
<a name="l00174"></a>00174 <span class="preprocessor">#endif</span>
<a name="l00175"></a>00175 <span class="preprocessor"></span>
<a name="l00176"></a>00176     ScalarField1D x = mesh.getCoord(X);
<a name="l00177"></a>00177     ScalarField1D y = mesh.getCoord(Y);
<a name="l00178"></a>00178     ScalarField1D dxv = mesh.getDeltasVols(X);
<a name="l00179"></a>00179     ScalarField1D dyv = mesh.getDeltasVols(Y);
<a name="l00180"></a>00180     ScalarField1D dxf = mesh.getDeltasFace(X);    
<a name="l00181"></a>00181     ScalarField1D dyf = mesh.getDeltasFace(Y);
<a name="l00182"></a>00182 
<a name="l00183"></a>00183     std::cout &lt;&lt; <span class="stringliteral">&quot;\n &gt;---&gt; Some info: \n&quot;</span>;
<a name="l00184"></a>00184     std::cout &lt;&lt; <span class="stringliteral">&quot;\n x = &quot;</span> &lt;&lt; x &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;
<a name="l00185"></a>00185     std::cout &lt;&lt; <span class="stringliteral">&quot;\n y = &quot;</span> &lt;&lt; y &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;
<a name="l00186"></a>00186     std::cout &lt;&lt; <span class="stringliteral">&quot;\n dvols x = &quot;</span> &lt;&lt; dxv &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;
<a name="l00187"></a>00187     std::cout &lt;&lt; <span class="stringliteral">&quot;\n dvols y = &quot;</span> &lt;&lt; dyv &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;
<a name="l00188"></a>00188     std::cout &lt;&lt; <span class="stringliteral">&quot;\n dface x = &quot;</span> &lt;&lt; dxf &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;
<a name="l00189"></a>00189     std::cout &lt;&lt; <span class="stringliteral">&quot;\n dface y = &quot;</span> &lt;&lt; dyf &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;
<a name="l00190"></a>00190     
<a name="l00191"></a>00191     <span class="keywordflow">return</span> 0;
<a name="l00192"></a>00192 }
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